Solve the following differential equations : The image displays the differential equation (2x^2 y + y^3) dx + (xy^2 - 3x^3) dy = 0.

Q33 of 462 Page 23

Solve the following differential equations :

It is a homogeneous equation

Put y = vx

And

So,

Integrating Both Sides We get,

Comparing the coefficient of like power of v

A = – 3

C = 0

And 2A + B = – 1

⇒B = 5

So,

– 3 log v +

– 12 log v +

Solve the following differential equations :

(x² + 3xy + y²)dx – x²dy=0

Solve the following differential equations :